source: buchla-68k/orig/DOC/RATIO.TXT@ 0170798

Last change on this file since 0170798 was 3ae31e9, checked in by Thomas Lopatic <thomas@…>, 7 years ago

Imported original source code.
  • Property mode set to 100755
File size: 2.4 KB
RevLine 
[3ae31e9]1Ratio to Interval Table num:den
2----------------------- -------
3
4 ------------------------ num ------------------------
5den __1__ __2__ __3__ __4__ __5__ __6__ __7__ __8__ __9__
6 1 0 1200 1902 2400 2786 3102 3369 3600 3804
7 2 -1200 0 702 1200 1586 1902 2169 2400 2604
8 3 -1902 -702 0 498 884 1200 1467 1698 1902
9 4 -2400 -1200 -498 0 386 702 969 1200 1404
10 5 -2786 -1586 -884 -386 0 316 583 814 1018
11 6 -3102 -1902 -1200 -702 -316 0 267 498 702
12 7 -3369 -2169 -1467 -969 -583 -267 0 231 435
13 8 -3600 -2400 -1698 -1200 -814 -498 -231 0 204
14 9 -3804 -2604 -1902 -1404 -1018 -702 -435 -204 0
15
16 ------------------------ num ------------------------
17den __1__ __2__ __3__ __4__ __5__ __6__ __7__ __8__ __9__
18 1 0 1200 1902 2400 2786 3102 3369 3600 3804
19 2 -1200 1:1 702 2:1 1586 3:1 2169 4:1 2604
20 3 -1902 -702 1:1 498 884 2:1 1467 1698 3:1
21 4 -2400 1:2 -498 1:1 386 3:2 969 2:1 1404
22 5 -2786 -1586 -884 -386 1:1 316 583 814 1018
23 6 -3102 1:3 1:2 2:3 -316 1:1 267 498 3:2
24 7 -3369 -2169 -1467 -969 -583 -267 1:1 231 435
25 8 -3600 1:4 -1698 1:2 -814 3:4 -231 1:1 204
26 9 -3804 -2604 1:3 -1404 -1018 2:3 -435 -204 1:1
27
28
29Equivalent Ratios
30-----------------
31
32Interval of -2400 cents = 1:4 = 2:8
33Interval of -1902 cents = 1:3 = 2:6 = 3:9
34Interval of -1200 cents = 1:2 = 2:4 = 3:6 = 4:8
35Interval of -702 cents = 2:3 = 4:6 = 6:9
36Interval of -498 cents = 3:4 = 6:8
37Interval of 0 cents = 1:1 = 2:2 = 3:3 = 4:4 = 5:5 = 6:6 = 7:7 = 8:8 = 9:9
38Interval of 702 cents = 3:2 = 6:4 = 9:6
39Interval of 1200 cents = 2:1 = 4:2 = 6:3 = 8:4
40Interval of 1902 cents = 3:1 = 6:2 = 9:3
41Interval of 2400 cents = 4:1 = 8:2
42
43Interval of 0 cents = 1:1 = 2:2 = 3:3 = 4:4 = 5:5 = 6:6 = 7:7 = 8:8 = 9:9
44Interval of -1200 cents = 1:2 = 2:4 = 3:6 = 4:8
45Interval of -1902 cents = 1:3 = 2:6 = 3:9
46Interval of -2400 cents = 1:4 = 2:8
47Interval of 1200 cents = 2:1 = 4:2 = 6:3 = 8:4
48Interval of -702 cents = 2:3 = 4:6 = 6:9
49Interval of 1902 cents = 3:1 = 6:2 = 9:3
50Interval of 702 cents = 3:2 = 6:4 = 9:6
51Interval of -498 cents = 3:4 = 6:8
52Interval of 2400 cents = 4:1 = 8:2
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